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132201104 = 2471517817
BaseRepresentation
bin1111110000100…
…11101010010000
3100012202111211012
413320103222100
5232320413404
621041310052
73163455650
oct770235220
9305674735
10132201104
1168695712
1238335328
1321509609
14137b4360
15b915a6e
hex7e13a90

132201104 has 40 divisors (see below), whose sum is σ = 294707328. Its totient is φ = 56275200.

The previous prime is 132201103. The next prime is 132201109. The reversal of 132201104 is 401102231.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (132201103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13004 + ... + 20820.

Almost surely, 2132201104 is an apocalyptic number.

132201104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132201104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147353664).

132201104 is an abundant number, since it is smaller than the sum of its proper divisors (162506224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132201104 is a wasteful number, since it uses less digits than its factorization.

132201104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7983 (or 7977 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 132201104 is about 11497.8738904199. The cubic root of 132201104 is about 509.4227789576.

Adding to 132201104 its reverse (401102231), we get a palindrome (533303335).

The spelling of 132201104 in words is "one hundred thirty-two million, two hundred one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 112 151 302 604 1057 1208 2114 2416 4228 7817 8456 15634 16912 31268 54719 62536 109438 125072 218876 437752 875504 1180367 2360734 4721468 8262569 9442936 16525138 18885872 33050276 66100552 132201104